8. During a high-speed chase, a 2400-Ib sports car traveling at a speed of 100 mi/h just loses contact with the road as it reaches the crest A of a hill. (a) Determine the radius of curvature p of the vertical profile of the road at A. (b) Using the value of p found in part a, determine the force exerted on a 160- Ib driver by the seat of his 3100-lb car as the car, traveling at a constant speed of 50 mi/h, passes through A.

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A:

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!